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Finding the Fourth Proportional to 402,199.40, 603,255.90 and 106,711.40

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Solution

The fourth proportional to 402,199.40, 603,255.90 and 106,711.40 is: 160,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,199.40 : 603,255.90 = 106,711.40 : x
  2. Step 2: Convert to fraction form
    402,199.40/603,255.90 = 106,711.40/x
  3. Step 3: Cross multiply
    402,199.40x = 603,255.90 × 106,711.40
  4. Step 4: Simplify right side
    402,199.40x = 64,374,281,647.26
  5. Step 5: Solve for x
    x = 64,374,281,647.26/402,199.40
  6. Step 6: Final answer
    x = 160,055.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.